Vertical Lifting with Time Belt Tricks

i am designing a vertical lifting mechanism by using synchronous time belt. i have two columns; right and left and a shaft that is driven by one gear motor coupled with columns. i guide and react the bending moment by linear bearing and a induction chrome based shaft for each columns. anyone who has any experienced about this kind of project, can say me is there any trick of this belt driven and one guidance bar. best regards

This is possible and is used in industry. There would be a profiled clamp on the belt, which would then be guided on a linear guide.
Caution !!! Since this results in a closed loop of assembly, you may need to provide a clearance at the junction of belt holder and the shaft.
Good Luck.